Locally one-dimensional scheme for a loaded heat equation with Robin boundary conditions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 7, pp. 1223-1231
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The third boundary value problem for a loaded heat equation in a $p$-dimensional parallelepiped is considered. An a priori estimate for the solution to a locally one-dimensional scheme is derived, and the convergence of the scheme is proved.
@article{ZVMMF_2009_49_7_a8,
author = {M. H. Shhanukov-Lafishev},
title = {Locally one-dimensional scheme for a~loaded heat equation with {Robin} boundary conditions},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1223--1231},
publisher = {mathdoc},
volume = {49},
number = {7},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_7_a8/}
}
TY - JOUR AU - M. H. Shhanukov-Lafishev TI - Locally one-dimensional scheme for a loaded heat equation with Robin boundary conditions JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2009 SP - 1223 EP - 1231 VL - 49 IS - 7 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_7_a8/ LA - ru ID - ZVMMF_2009_49_7_a8 ER -
%0 Journal Article %A M. H. Shhanukov-Lafishev %T Locally one-dimensional scheme for a loaded heat equation with Robin boundary conditions %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2009 %P 1223-1231 %V 49 %N 7 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_7_a8/ %G ru %F ZVMMF_2009_49_7_a8
M. H. Shhanukov-Lafishev. Locally one-dimensional scheme for a loaded heat equation with Robin boundary conditions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 7, pp. 1223-1231. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_7_a8/